Question

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 24 inches and a height of 16 inches. How many times bigger is the volume of pyramid B than pyramid A?

Answer 1

In order to find this you have to find the volumes of the 2 pyramids. The formula is
V = 1/3Bh, where B is the area of the base and h is the height. The volume of the smaller would be\[V=\frac{ 1 }{ 3 }(144)(8)=384\]The volume of the larger is \[V=\frac{ 1 }{ 3 }(576)(16)=3072\]In order to find out how much bigger the larger one is, divide the larger volume by the smaller one. 3072/384=8. 8 times bigger